Answer:
The slope of the line passing through the points (−3, −5) and (−1, −6) is 
(-0.5)
Step-by-step explanation:
Equation of a straight line:
y = mx + b where m is the slope and b is the y-intercept
(x1, x2) and (y1, y2) : (−3, −5) and (−1, −6)
Calculating Slope (m).
m = 
m = 
m = 
m =
we can take this a step further by finding the equation:
Now putting value of m in equation (i)
y = -0.5x + b
Calculating Y-intercept (b).
Lets choose the first point, (-3,-5) for calculating y-intercept:
y = mx + b
-5 = -0.5(-3) + b
-5 = 1.5 + b
-6.5 = b
b = -6.5
Now putting value of b in equation
y = -0.5x + -6.5
1
Add 1111 to both sides
5x\ge 31+115x≥31+11
2
Simplify 31+1131+11 to 4242
5x\ge 425x≥42
3
Divide both sides by 55
x\ge \frac{42}{5}x≥542
Answer: Side QR
Step-by-step explanation: The sum of a triangle internal angles is 180°. So to determine the angles, we calculate x:
5x - 27 +4x - 7 + 3x + 10 = 180
12x = 204
x = 17
With x, solve for the angles:
m∠P = 5(17) - 27 = 58
m∠Q = 4(17) - 7 = 61
m∠R = 3(17) + 10 = 61
The relationship between angles and sides in any triangle:
- the largest angle is opposite the largest side;
- the middle angle is opposite to the middle-sized side;
- the shortest angle and side are opposite to each other;
So, the shortest side of PQR is the side opposite to the shortest angle.
The shortest angle is m∠P = 58°. Therefore, the shortest side is QR
Answer:
1,3,7,21
Step-by-step explanation:
V = pi * r^2 * h
V = pi * 12^2 * 9
V = pi * 144 * 9
V = pi * 1296
V = 1296 pi
